Abstract
This work thoroughly examines several analytical tools, each possessing a different level of mathematical intricacy, for the purpose of characterizing the orientation distribution function of elongated objects under flow. Our investigation places an emphasis on connecting the orientation distribution to the small-angle scattering spectra measured experimentally. The diverse range of mathematical approaches investigated herein provide insights into the flow behavior of elongated particles from different perspectives and serve as powerful tools for elucidating the complex interplay between flow dynamics and the orientation distribution function.
Original language | English |
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Pages (from-to) | 637-658 |
Number of pages | 22 |
Journal | Journal of Applied Crystallography |
Volume | 58 |
Issue number | Pt 3 |
DOIs | |
State | Published - Jun 1 2025 |
Funding
Commercial equipment or software identified in this work does not imply recommendation or endorsement by NIST. A portion of this research used resources at the Spallation Neutron Source and the Center for Nanophase Materials Sciences, US Department of Energy (DOE) Office of Science User Facilities operated by the Oak Ridge National Laboratory. This research was sponsored by the Laboratory Directed Research and Development Program of Oak Ridge National Laboratory, managed by UT-Battelle, LLC, for the US DOE. GRH is supported by the National Science and Technology Council (NSTC) in Taiwan with grant No. NSTC 111-2112-M-110-021-MY3. YS was supported by the US DOE, Office of Science, Office of Basic Energy Sciences, Materials Science and Engineering Division. RPM acknowledges support from CHRNS, a national user facility jointly funded by the NCNR and the NSF under agreement No. DMR-2010792. YW acknowledges the support of the US DOE, Office of Science, Office of Basic Energy Sciences, Early Career Research Program Award KC0402010, under contract DE-AC05-00OR22725.
Keywords
- flowing elongated particles
- nonparametric regression analysis
- orientation distribution functions
- parametric regression analysis
- small-angle scattering
- spectral anisotropy